Questions: Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. Your bar graph must be wrong, because you have 8 bars, but there were only 7 data categories. Choose the correct answer below. A. The statement makes sense because there should be fewer bars than categories. B. The statement does not make sense because when making a bar graph, you can have as many bars as you want. c. The statement does not make sense because a bar graph is only wrong when D. The state

Solution Steps

To determine whether the statement makes sense, we need to understand the relationship between the number of bars in a bar graph and the number of data categories. A bar graph typically has one bar for each data category. Therefore, if there are 8 bars but only 7 data categories, it suggests an inconsistency, which could indicate an error in the graph.

We have a bar graph with \( \text{num\_bars} = 8 \) and \( \text{num\_categories} = 7 \). The relationship between the number of bars and categories is crucial for determining the validity of the statement.

In a bar graph, each data category typically corresponds to one bar. Therefore, the expected condition is: \[ \text{num\_bars} \leq \text{num\_categories} \] In this case, we have \( 8 \nleq 7 \), indicating that the number of bars exceeds the number of categories.

Since the number of bars exceeds the number of categories, the statement that the bar graph must be wrong makes sense. Thus, the correct interpretation is that there should be fewer bars than categories.

Final Answer